7. \( \frac{2}{3}+\frac{6}{9}= \)

To solve the expression \( \frac{2}{3} + \frac{6}{9} \), follow these steps: 1. **Simplify the Fractions (if possible):** The fraction \( \frac{6}{9} \) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3: \[ \frac{6 \div 3}{9 \div 3} = \frac{2}{3} \] So, the expression becomes: \[ \frac{2}{3} + \frac{2}{3} \] 2. **Add the Fractions:** Since both fractions have the same denominator, you can add the numerators directly: \[ \frac{2}{3} + \frac{2}{3} = \frac{2 + 2}{3} = \frac{4}{3} \] 3. **Simplify the Result (if desired):** The fraction \( \frac{4}{3} \) is an improper fraction and can be expressed as a mixed number: \[ \frac{4}{3} = 1 \frac{1}{3} \] However, both \( \frac{4}{3} \) and \( 1 \frac{1}{3} \) are correct answers depending on the preferred form. **Final Answer:** \[ \frac{2}{3} + \frac{6}{9} = \frac{4}{3} \]